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defon
3 years ago
9

How would I find the slope and y-intercept of y+3=x? I'm familiar with slope and y-intercept already, but I can't figure it out

when it's formatted like this, and I'd really appreciate some help!
Mathematics
1 answer:
butalik [34]3 years ago
5 0

Answer: \mathrm{Slope\:of\:}y+3=x:\quad m=1

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Find f(g(x)) and g(f(x)).<br> f(x)=x²-2 and g(x)=√x+1
Archy [21]

Answer:

1. x - 1

2. \sqrt{x^2-1}

Step-by-step explanation:

f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1

g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}

6 0
2 years ago
Determine the radius, to the nearest inch, of a large can of tuna fish that has a volume of 66 cubic
Mnenie [13.5K]

The radius of can is 2.524 inches

<em><u>Solution:</u></em>

Given that large can of tuna fish that has a volume of 66 cubic  inches and a height of 3.3 inches

To find: Radius

Given a large can of tuna fish, we know that can is generally of cylinder shape, we can use the volume of cylinder formula,

<em><u>The volume of cylinder is given as:</u></em>

\text{ volume of cylinder}= \pi r^{2} h$

Where,

"r" is the radius of cylinder

"h" is the height of cylinder

\pi is a constant equal to 3.14

Substituting the given values in above formula,

66 = 3.14 \times r^2 \times 3.3\\\\66 = r^2 \times 10.362\\\\r^2 = \frac{66}{10.362}\\\\r^2 = 6.369\\\\r = 2.524

Thus the radius of can is 2.524 inches

4 0
3 years ago
Evaluate C_n.xP^xQn-x For the given n=7, x=2, p=1/2
r-ruslan [8.4K]

Answer:

The value of given expression is \frac{21}{128}.

Step-by-step explanation:

Given information: n=7, x=2, p=1/2

q=1-p=1-\frac{1}{2}=\frac{1}{2}

The given expression is

C(n,x)p^xq^{n-x}

It can be written as

^nC_xp^xq^{n-x}

Substitute n=7, x=2, p=1/2 and q=1/2 in the above formula.

^7C_2(\frac{1}{2})^2(\frac{1}{2})^{7-2}

\frac{7!}{2!(7-2)!}(\frac{1}{2})^2(\frac{1}{2})^{5}

\frac{7!}{2!5!}(\frac{1}{2})^{2+5}

\frac{7\times 6\times 5!}{2\times 5!}(\frac{1}{2})^{2+5}

21(\frac{1}{2})^{7}

\frac{21}{128}

Therefore the value of given expression is \frac{21}{128}.

7 0
3 years ago
Use the graph of the quadratic, g(x) to answer each question
forsale [732]

Answer:

-5

Step-by-step explanation:

from graph

6 0
3 years ago
Which matrix equation represents this linear system? 2x-7y=-1 x+3y=-5 capture.jpg
ElenaW [278]
The second matrix system is the correct answer
5 0
4 years ago
Read 2 more answers
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